Solution of a problem of Peller concerning similarity

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We answer a question of Peller by showing that for any c>1 there exists a power-bounded operator T on a Hilbert space with the property that any operator S similar to T satisfies $\sup_n\|S^n\|>c.$
9 pages

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Functional Analysis, 47A65; 42A50

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http://salesiana.dossiersoluciones.com/handle/123456789/79303

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9910163
 http://arxiv.org/abs/math/9910163

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arXiv